First of all, be clear.
For children, the leap from primary school to junior high school is not a simple sixth grade to seventh grade, but a big step and a leap! The mathematics content that primary school students are exposed to is intuitive and single, while the junior high school mathematics content is more abstract and complex than the primary school mathematics content, which pays attention to the understanding and application of knowledge, abstract thinking and strict logic. The required thinking mode, calculation ability, reading ability, understanding ability, graphic perception ability, spatial imagination ability, logical reasoning ability and the application of basic mathematical ideas are much more difficult than those required by primary schools. But primary school mathematics is the foundation of junior high school mathematics, and some contents are special cases of junior high school mathematics; Junior high school mathematics is the expansion and extension of primary school mathematics, and most of the contents are brand-new. Don't feel so horrible and terrible. As long as you have no major problems in primary school and develop good study habits, your brain and thinking will gradually mature in junior high school. As long as you study hard, scientifically and practically, you believe you can learn well. Here I can simply tell you what are the differences and transitions, so that you have some psychological preparation:
1. A leap from "natural numbers and fractions (decimals)" to "rational numbers and irrational numbers (collectively called real numbers)".
In primary school mathematics, the learning content only involves the knowledge of natural numbers and fractions (decimals), that is, positive rational numbers and zeros. These figures can be seen, used and understood by students at any time in life, which is more intuitive and friendly. After entering junior high school, the first problem of algebra is "negative number". Negative number is a new abstract concept, which is completely understood by comparison. The calculation of negative numbers and the change of symbols will definitely make students feel that the problem becomes more complicated than that of primary schools. In addition to numerical values, symbols should also be considered in calculation. For example, (-2)+(-4) Make sure the symbol is "-"first, and then add up the digital parts, which is (-2)+(-4)=-(2+4)=-6.
2. The leap from "number" to "type".
For six years, primary school students mainly studied specific numbers and operations between numbers, but by the first day of junior high school, they were exposed to the concept of using letters to represent numbers and establishing algebra. In our view, "algebra" means replacing a number with letters, but this is by no means the case. Mathematics in Senior One begins with "expressing numbers with letters", then goes deep into "equations", then expands the concept of "formulas containing letters", then starts to calculate "algebraic expressions" and then learns "functions". In fact, the content of junior high school learning is mostly the expansion package of primary school content. There are actually many connections between elementary school mathematics and junior high school mathematics. As long as under the guidance of the teacher, find out the internal relations and differences between "number" and "type", build a bridge between knowledge, and lay a solid foundation for more content later.
3. A leap from "arithmetic" to "equation".
Most application problems in primary schools can be solved by arithmetic. The so-called "arithmetic method" refers to a formula composed of all numbers and symbols. Because of its simple calculation, it has become the "main course" for students to solve problems in primary school for six years. Even the "simple equation" of primary school only requires students to learn in an understanding way, and the difficulty of the questions and the requirements of the exam are not high. But after entering junior high school, it is different. Since the first semester of junior high school, I have studied the linear equation in detail. Gradually, the first reaction of all application problems is to establish unknown equations, but I have no impression of the original "arithmetic method". Why is this? Most arithmetic methods use "reverse thinking" to solve practical problems, and most equations are solved by "sequential thinking". Obviously, the latter two methods are suitable for students' general thinking habits. Moreover, this mode of thinking will accompany your whole learning process from junior high school to senior high school, and also be used to deal with problems in other disciplines.
From the above three points, the difference between junior high school mathematics and primary school mathematics is mainly reflected in knowledge and thinking mode. To learn junior high school mathematics well, we must make our thinking more logical, listen carefully to the teacher's instruction and guidance, and learn to find, analyze and solve problems from the perspective of developing mathematics.
Second, pay attention to cultivate their own scientific and correct learning methods.
A good and scientific learning method is the guarantee of success, which can get twice the result with half the effort.
1. Pay attention to preview before class and learn to teach yourself.
Preview is a key process to learn junior high school mathematics well. Preview is essentially the beginning of students' self-study, which is generally not paid so much attention to in primary school. So by the first day of junior high school, most students will not preview. Even if they preview, they just turn over the text and read it like a novel. The preview here is to teach yourself with questions and understand the meaning of this topic through reading? What is the main content? How to introduce new problems from the original problems? What is the definition of the new problem? What are the new rules? What are the improvements and continuations compared with the old knowledge? What questions have you read, do you understand? What content is still in doubt? Wait a minute. Try to finish the exercises and exercises provided in the textbook and see if you can finish them. Mark the unclear places and pay attention to the teacher's explanation and guidance in class. If you still don't understand after class and want to ask the teacher after class, you must find out the ins and outs of the problem and don't leave any questions. Mathematics is a closely related subject. I don't understand the previous question, and I won't understand the knowledge related to this question in the future. Learning is the process of transforming other people's knowledge, experience and skills into your own. Finally, you must learn to deal with all kinds of problems you encounter. Don't think that the study time in junior high school is tight and there are many subjects to despise the preview process. Maybe you didn't adapt to it at first, but after a period of persistence, you found that your math was easy to learn at first and your grades were good, so you thought it was worthwhile to preview.
2. Listen attentively in class, be diligent and studious, be good at thinking, and actively participate in class.
How should junior high school students learn math well? Learning to recall is recognized by UNESCO as the most effective review method and the best way to solve the gap. At the time of the final exam, my score was still the first in my class. I'm not showing off, just explaining the importance of learning methods. I remember that three months ago, my grades were still in my class. After this period of study, my grades have improved obviously. I'm really happy. Thanks to Hu's online article about learning methods, it is her method that makes me get twice the result with half the effort. I still use this method until now.
Write: Always write down difficulties, omissions and shortcomings. Be sure to write it down in detail in your notes and mark the review time. Pay attention to reviewing this part.
Say: it's a retelling. For example, repeat what you have learned every day and what you have learned in a week every weekend. Understand is not really understand, speak clearly is really understand. This is a beautiful memory of 2 ~ 3 months. My generalization ability and understanding ability have been improved, my expression ability has been enhanced and my writing ability has advanced by leaps and bounds.
How should I learn math well? Interest is most important. See what you like to learn, this is not just a question that affects your grades, because learning what you don't like is a kind of pain in itself. Hehe, some things should not be too focused on immediate interests.
Mathematics, I have no talent, I don't think there is any good way. Do a good job in preview and review. Don't be bored if you don't understand. Ask your classmates and teachers more. Although it takes brains to ask sea tactics, it is impossible not to ask sea tactics.
Listen carefully in class. Don't be shy if you don't know where to ask the teacher after class. Do the questions carefully, not carelessly. Check it several times.
This is the most basic method; View from a height or a distance
In addition, we can start from these aspects:
1 take a notebook to accumulate big questions that are easy to come out in the final exam or the usual monthly exam. You don't have to remember the answer process in detail, but you should have ideas. Look at it often.
Take another notebook and write down the wrong questions before. Write down the correct answers and process ideas. Read regularly, just like memorizing words, to prevent making mistakes again.
The topic is not to do more, but to understand. Topics are divided into different types. If the same knowledge points in some topics are just numbers and small differences, it should be more important than understanding. Do a few questions for each type, and it is enough to be familiar with the problem-solving methods. The sea tactics are too laborious.
Fill-in-the-blank multiple-choice questions can combine graphics and shapes. Painting is very important.
One or two reference books are enough. If it's from the school, you don't need to buy it, because the burden is already heavy. But if you do a reference book, you have to read it from beginning to end and do every question.
PS; Since you have confidence in mathematics, it is certainly better. Write something to encourage yourself and give some spiritual encouragement.
How should primary school students learn English well? English:
Good methods can make you achieve the best results in the shortest time, so when you study, you should summarize the methods and learn more from others' good methods. Learn actively and continuously. If you are not interested in English, then you should try your best to cultivate your interest and make it something you like, so that you always want to learn and learn it well. With good methods and strong interest, the effect of English learning is directly proportional to the time spent, so we should persevere. I can finally learn English well.
First, reading, reading every day.
1, read the general article 2~3 times, and read it with understanding.
2. Remember good articles by heart, remember good words and sentences, and cultivate your sense of language.
3, accurately understand the article, and familiar with the grammatical structure, deepen word memory.
4. Improve your reading ability. If you want to remember words, you can look them up in a dictionary. You can remember words by searching them many times.
Second, listen more and insist on listening every day.
1, understand every word, sentence, paragraph and article from the most elementary listening. Gradually increase the difficulty.
2. Follow English, on the one hand, strengthen listening, on the other hand, train oral English, and at the same time cultivate language sense. Pay attention to the accuracy of pronunciation.
Third, we should insist on speaking every day. Speak more, try to find good English or foreign teachers, and you can also go to chat rooms if you have the conditions.
In short, it is a process of accumulation. The more you know, the better you learn, so remember more and choose your own method. I wish you success in your study!
Ten methods and formulas for primary school students to learn mathematics well
As the saying goes, learning the sea is endless. Of course, we should study hard, but we must learn the law. Mastering good learning methods will often get twice the result with half the effort. Not only can you improve your learning efficiency, but you can also learn more deeply and thoroughly. Here are ten good learning methods that will definitely benefit you a lot.
1, preview before class and find questions;
2. Think hard and ask more questions, and master the rules;
3. Use your brain and hands, and use both hands and brains;
4, digestion and consolidation, old learning and new learning;
5. Read the questions carefully and check them carefully;
6. Pay attention to understanding and memory;
7. Use your brains to solve problems;
8. Read more books and broaden your horizons;
9. Analyze the lost points and sum up experience;
10, combining work and rest, reasonable arrangement.
For primary school students, mathematics is actually arithmetic, algebra in junior high school and mathematics after high school.
So now primary school students learn arithmetic, first of all, like English.
After reciting the concept, it is imitation, imitating the teacher's calculation method and common sense of solving problems. Of course, the understanding of the concept is needed as a foreshadowing.
After that, it is necessary to absorb the knowledge acquired by teachers and transform it into their own knowledge and understanding, so as to learn mathematics well for primary school students.
With the above points, you don't have to worry about general problems, big and small. As for the more difficult questions, such as the problem of getting points in a big midterm/final exam, you can improve your knowledge and experience by doing more exercises at ordinary times, and even think of methods and solutions when you know that you can see the questions. Of course, if you encounter very difficult questions, you should not think that you will pass the exam, so as not to make your knowledge more and more confused. It is best to let the teacher come out and let the teacher know more about his students' weaknesses.
Therefore, the most important thing to learn mathematics in primary schools is to practice and imitate more, lay a good foundation and learn mathematics well.
Personal feeling is still relatively comprehensive, strengthen guidance.
How do primary school students learn math application problems well and lay a good foundation for operation? First of all, children must be interested in arithmetic to be interested in math application problems. With interest, you can devote yourself to studying hard. At the beginning, children should not always say that they are slow and stupid when calculating, but teach them more special skills of calculation, which will make them feel very interesting and fun, and then naturally learn the application problems.
How should freshmen learn math well? 1. You'd better preview the contents of the textbook before class. Targeted exercises after class must be done seriously and not lazy. You can also repeat the examples in class several times when reviewing after class. After all, you have to take class notes. Good memory is not as good as writing. For solving mathematical and physical problems, it is not enough to rely only on the general ideas in the mind. Only through careful written calculation can we find the difficulties, master the solutions and finally get the correct calculation results.
2. Secondly, we should be good at summarizing and classifying, looking for the * * * relationship between different types of questions and different knowledge points, and systematizing what we have learned. To give a concrete example: in the function part of senior one algebra, we have studied several different types of functions, such as exponential function, logarithmic function, power function, trigonometric function and so on. But comparing and summarizing, you will find that whatever function we need to master is its expression, image form, parity, increase and decrease and symmetry. Then you can make the above contents of these functions into a big table, and you can understand and remember them by comparing them. Pay attention to the combination of function expressions and graphics when solving problems, and you will certainly get much better results.
Finally, we should strengthen after-class exercises. Besides homework, find a good reference book and do as many exercises as possible (especially comprehensive and applied questions). Practice makes perfect, thus consolidating the effect of classroom learning and making your problem solving faster and faster.
How do primary school students learn math well, how do they learn primary school math well, and what if math is not good? Small id= 1000: interest in brain, interest in hands-on, interest in heart, interest in active learning.
Learning a semester course well in 30 days is conducive to knowledge, IQ and wisdom, and flexible use increases wisdom;
Learning methods, cognition and learning skills, and systematic mastery;
Learn and grow happily, improve your grades and lay the foundation for the future. The five characteristics of fairy tale mathematics deserve every student to have the perfect combination of 1, fairy tale comics, interactive software, fairy tale workbook and study guide manual.
Inspire children's interest in mathematics through fairy tales and cartoons containing systematic primary school mathematics knowledge, and then use interactive learning software system to easily learn and consolidate mathematics knowledge. There are also fairy tale workbooks and test papers for children to practice and test. Parents can get twice the result with half the effort as long as they follow the instructions correctly. 2. Modern animation film and television technology and multimedia information technology.
Fairy tale mathematics combines systematic elementary school mathematics knowledge with vivid fairy tales, wonderful cartoons, interesting game education and learning software systems, fairy tale mathematics exercise books and so on. Natural and ingenious, it has created an effective and contemporary "fairy tale education and learning model for primary school mathematics". 3. It conforms to children's psychology and accumulates the experience and wisdom of many experts. Starting from children's psychology and acceptance habits, according to the primary school mathematics teaching syllabus formulated by the Ministry of Education, combined with the new curriculum standards, and combining the experience and wisdom of many educational experts, children's literature writers and first-line primary school mathematics teachers, the primary school mathematics knowledge is naturally, skillfully and systematically integrated into fairy tales, bringing children into the mathematics kingdom. 4. "World First" and "China First" have the world's first cartoon containing systematic elementary school mathematics knowledge, the first original fairy tale mathematics workbook in China, and the first set of elementary school mathematics fairy tale education and learning software system presented by Tsinghua University Hewen School. 5. Introduction of famous schools and appraisal by authoritative organizations.
The system and mode of fairy tale education in primary schools recommended by Tsinghua University and Wen was appraised by the Ministry of Education only and published by People's Education Electronic Audio-visual Publishing House only. Based on the new curriculum standard, it perfectly integrates the knowledge points, knowledge lines, knowledge areas and knowledge bodies of primary school mathematics, so that children can firmly grasp it in a subtle, relaxed and happy way. Take a small step now and take a few big steps later. Only by letting children like mathematics from an early age can they learn mathematics well!